A body of mass $2\, kg$ moving with a velocity of $6\, m/s$ strikes inelastically another body of same mass at rest. The amount of heat evolved during collision is ............... $\mathrm{J}$

A ball of mass $200\,g$ rests on a vertical post of height $20\,m$. A bullet of mass $10\,g$, travelling in horizontal direction, hits the centre of the ball. After collision both travels independently. The ball hits the ground at a distance $30\,m$ and the bullet at a distance of $120\,m$ from the foot of the post. The value of initial velocity of the bullet will be $............m/s$ (if $\left.g =10 m / s ^2\right)$

Three particles $A, B$ & $C$ of equal mass move with speed $V$ as shown to strike at  centroid of equilateral triangle after collision. $A$ comes to rest & $B$ retraces its path  with speed $V$. speed of $C$ after collision is :-

A molecule in a gas container hits a hortzontal wall with speed $200 \;m s ^{-1}$ and angle $30^{\circ}$ with the normal, and rebounds with the same speed. Is momentum conserved in the collision? Is the collision elastic or inelastic?

A particle of mass $m$ with an initial velocity $u\hat i$ collides perfectly elastically with a mass $3m$ at rest. It moves with a velocity $v\hat j$ after collision, then, $v$ is given by

A ball falls vertically onto a floor with momentum $p$ and then bounces repeatedly. If the coefficient of restitution is $e$  then the total momentum imparted by the ball on the floor is